Advanced Algebra Progression 2012

Edit 0 62 …
These are the lessons for the completion of Advanced Algebra via YourTeacher.com (unless otherwise noted). These lessons must be completed in this order in order to comply with the district testing schedule. The lessons linked below are via other sites such as Khan Academy and TeacherTube. The Discovering Advanced Algebra online textbook address is (TBA).

Mini-lessons

Semester 1
Unit of Study (completion date for semester-long study)

Go to Khan Academy, set up an account (sign up using your Gmail address), on your profile page choose COACHES, enter my Gmail address as your coach.

2 Describing Data (09/07/12)
Box and Whisker Plots (Khan Academy) Also work on the associated exercises.
Read about Skew (DAA p.80)
Standard Deviation and Interquartile Range (TeacherTube) Exercises: DAA p. 82 #8 & 9
Histograms(KA) Exercises: DAA pp. 98-99 Investigation, Choose one column from the table to create a box and whisker plot, a histogram, and find the IQR and standard deviation of the data set. Write a paragraph discussing how these fast-food items would affect a healthy diet.
Percentile Ranks (DAA p. 97) Exercises: p. 101 #3, p. 103 #8
TEST

1 Patterns and Recursion (09/26/12)
Algebra 1 Chapter 12
Unit 2: Patterns
A: Recognizing Patterns
B: Finding the nth Term in a Pattern
C: Finite Differences to Generalize a Rule
TEST

3 Linear Models and Systems (10/19/12)
How are linear equations used in real life?
How are linear equations used in business?
Algebra 2 Chapter 5
Unit 1: Slope
A: Using the Graph of a Line to Find Slope
B: Using Slope to Graph a Line
C: Using Coordinates to Find Slope
D: Using Slope to Find Missing Coordinates
Unit 2: Slope-Intercept Form
A: Using Slope-Intercept Form to Graph a Line
B: Converting to Slope-Intercept Form and Graphing
Unit 3: Writing Equations of Lines
A: Standard Form
B: The Point-Slope Formula
C: Given Two Points
D: Parallel and Perpendicular
Fitting a line to data (Algebra Lab) Also work the Practice Problems
Residuals DAA Chapter 3.5 pp.142-146, Exercises: p. 146-147 #1, 2, 4, 9
Algebra 2 Chapter 6
Unit 1: Solving Systems
A: By Graphing
B: By Addition
C: By Substitution
D: Advanced Systems
Unit 2: Word Problems
A: Number and Value Problems
B: Wind and Current Problems
TEST

4 Functions, Relations, and Transformations (11/20/12)
Algebra 1 Chapter 12
Unit 3: Functions
A: Dependency and Correlational Relationships
B: Recognizing and Evaluating Functions
C: Functions in Problem Situations
D: Domain and Range
Unit 4: Graphs of Functions
A: Linear and Quadratic Relationships
B: Parent Graphs and Transformations
C: Slope and Intercept
D: Interpreting Graphs
Unit 5: Ratio and Proportion
A: Direct Variation
B: Indirect Variation
Algebra 2 Chapter 4
Unit 2: Absolute Value
A: Absolute Value Equations
B: Absolute Value Inequalities
Unit 3: Functions
C: Definition of a Function
D: Function and Arrow Notation
Pre-Algebra Chapter 7
Unit 6: Transformations
A: Transformations
B: Reflections
C:Translations
D: Rotations
E: Dilations
Transformations of Parabolas(AL); Exercises DAA p. 197- 98 #1-6
Transformations of Absolute Value Functions(AL); Exercises DAA p. 214 #1a-i, 2, 3
Algebra 2 Chapter 13
Unit 1: Quadratic Equations
A: Understanding y - k = a(x - h)2 Form
B: Graphing Quadratic Equations in y - k = a(x - h)2 Form
C: Writing Quadratic Equations in y - k = a(x - h)2 Form
Unit 2: Quadratic Functions
A: Graphing Quadratic Functions
B: The Sum and Product of Roots Formula
C: Writing Quadratic Functions


TEST

12 Probability (12/17/12)
Introduction to Probability (AL) Including Examples
Probability Addition Rule & Mutually Exclusive Events (AL) Including Examples
Venn Diagrams in Math (TT) Exersises DAA pp. 684-685 #1-4, 8
Counting Outcomes and Tree Diagrams (DAA) pp.668-672, Exercises DAA pp. 673-675 #1-4, 11, 13

TEST

SEMESTER 1 FINAL


Semester 2
Unit of Study (completion date for year-long study)
6 Matrices and Linear Systems (01/25/13)
Algebra 2 Chapter 4
Unit 1: Inequalities
A: Solving and Graphing Inequalities
B: Combined Inequalities
C: Advanced Inequality Problems
Linear Programming (TT) Exercises: DAA p. 347 #1, 2, 3
TEST

5 Exponential, Power, and Logarithmic Functions (02/15/13)
Algebra 2 Chapter 7
Unit 1: Exponent Rules
A: The Product Rule
B: The Power Rule
C: The Quotient Rule
Unit 2: Advanced Exponent Problems
A: Numerical Bases and Exponents of Zero
B: Combining Exponent Rules
Rational Exponents 1 (KA) Rational Exponents 2(KA) Definition DAA p. 253; Exercises DAAp. 256 #1-3, 6
Inverse Functions(AL) Work all examples until correct. Exercises DAA p. 269 #1-4
Logarithms & Logarithmic Properties(AL) Work all examples until correct. Exercises DAA p. 276 #1-4
Properties of Logarithms & Exponents(Example p. 279, Table p. 282) (DAA) Exercises DAA p. 282-83 #1, 2, 5; p. 289-90 #1-4

TEST

7 Quadratic and Other Polynomial Functions (04/05/13)
Algebra 2 Chapter 8: Factoring
Unit 1: Greatest Common Factor
A: Rules for Finding the G.C.F.
B: Factoring Out the G.C.F.
Unit 2: Factoring Special Polynomials
A: Special Trinomials with Positive Constant
B: Special Trinomials with Negative Constant
C: Difference of Two Squares
Unit 3: Advanced Trinomial Factoring
A: Coefficient on x2 Term, Positive Constant
B: Coefficient on x2 Term, Negative Constant
Unit 4: Factoring by Grouping
A: Basic Technique
B: Advanced Strategies
Unit 5: Factoring Completely
A: Factoring Out G.C.F. as First Step
B:Factoring Difference of Two Squares as Last Step
Unit 6: Polynomial Equations
A: Beginning Equations
B: Intermediate Equations
C: Advanced Equations
Read DAA pp. 368-371 about the Three Forms of a Quadratic Function (General, Factored, & Vertex).
Read DAA p. 405 about End Behaviors and Extreme Values.

Algebra 2 Chapter 11: Quadratics
Unit 1: Completing The Square
A: Square Rooting Both Sides
B: Beginning Completing The Square
C: Advanced Completing The Square
Unit 2: The Quadratic Formula
A: Beginning Quadratic Formula
B: Advanced Quadratic Formula
C: Using The Method of Your Choice
Algebra 2 Chapter 12: Imaginary & Complex Numbers
Unit 1: Imaginary Numbers
A: Beginning Imaginary Numbers
B: Advanced Imaginary Numbers
Unit 2: Complex Numbers
A: Beginning Complex Numbers
B: Advanced Complex Numbers


TEST

8 Parametric Equations and Trigonometry & 10 Trigonometric Functions (05/03/13)
Radian Measure and Arc Length(AL) Work the Examples; Exercises DAA pp. 578-79 #1, 2, 4, 5
Sine, Cosine, and Tangent (AL) Work the Examples; Exercises DAA pp. 443 #1-4, 12
Graphing Trig Functions (AL) Work the Examples; Exercises DAA p. 589-90 #1-3
Reciprocal Trig Functions (AL) Work the Examples; Read DAA p. 597; Exercises DAA p. 598 1, 2, 5
Trig Identities Part 2 (KA) Exercises DAA p. 611 #1-3

TEST

9 Conic Sections and Rational Functions (05/28/13)
Distance Formula(AL) Work the Examples
Read DAA pp. 489-491; Exercises DAA pp. 491-492 #1-6
Circles (AL) Work the Examples
The Equation of a Circle (AL) Also work the Practice Problems
Ellipses (AL) Parts I-IV; Also work the first set of Examples
Parabolas Terminology (AL) Also work the Examples
Parabolas Focus & Directrix (AL) Also work the Example Groups

Algebra 2 Chapter 9
Unit 1: Beginning Rational Expressions
A: Simplifying Rational Expressions
B: Multiplying and Dividing Rational Expressions
Unit 2: Advanced Rational Expressions
A: Adding Rational Expressions
B: Subtracting Rational Expressions
C: Complex Fractions
Unit 3: Rational Equations
A: Beginning Rational Equations
TEST

SEMESTER 2 FINAL